Periodic orbit families near the 4:1 jovian resonance |
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Authors: | Miquel Grau Miquel Noguera |
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Institution: | (1) Departament de Matemàtica Aplicada II, Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain |
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Abstract: | An enlarged averaged Hamiltonian is introduced to compute several families of periodic orbits of the planar elliptic 3-body
problem, in the Sun–Jupiter–Asteroid system, near the 4:1 resonance. Four resonant critical point families are found and their
stability is studied. The families of symmetric periodic orbits of the elliptic problem appear near the corresponding fixed
points computed in this model. There is a good agreement for moderate eccentricity of the asteroid for three of these families,
whereas the remaining family cannot be considered as a family of periodic orbits of the real model.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | asteroids averaging periodic orbits resonance three-body problem |
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